Kostenloser Prismavolumenrechner
Berechne das Volumen eines Prismas mit Grundfläche und Höhe.
Volumen
150.0000
Formel
## Rectangular Prism (Box) Formulas ### Volume **V = l × w × h** ### Surface Area **SA = 2(lw + lh + wh)** ### Space Diagonal **d = sqrt(l² + w² + h²)** The space diagonal runs from one corner to the opposite corner through the interior of the box.
Lösungsbeispiel
Box with length 10, width 5, height 3.
- 01Volume = 10 × 5 × 3 = 150
- 02Surface area = 2(50 + 30 + 15) = 2 × 95 = 190
- 03Diagonal = √(100+25+9) = √134 ≈ 11.5758
Häufig Gestellte Fragen
What is a prism?
A prism is a 3D shape with two parallel, identical bases connected by rectangular faces. A rectangular prism (box) is the most common type.
Is a cube a prism?
Yes, a cube is a special rectangular prism where all three dimensions are equal.
What is the space diagonal?
The space diagonal is the longest line segment inside the box, connecting opposite corners through the interior. It uses a 3D version of the Pythagorean theorem.
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